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Upper half-plane

In mathematics, the upper half-plane, ⁠H,{\displaystyle {\mathcal {H}},}⁠ is the set of points ⁠(x,y){\displaystyle (x,y)}⁠ in the Cartesian plane with ⁠y>0.{\displaystyle y>0.}⁠ The lower half-plane is the set of points ⁠(x,y){\displaystyle (x,y)}⁠ with ⁠y<0{\displaystyle y<0}⁠ instead.

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